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%I #6 Mar 31 2012 12:36:30
%S 1,5,23,184,2717,71378,3069415,228810799,30168287384
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,2,0,1,1,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 1's, every 5 is next to 5 1's, every 6 is next to 6 0's
%e Some solutions with all values 0 to 6 for 8X8X8
%e .........0................0................1................0
%e ........2.0..............0.0..............0.1..............0.0
%e .......2.2.1............0.6.0............1.1.2............0.6.0
%e ......0.1.4.1..........3.0.0.3..........1.5.2.2..........3.0.0.3
%e .....1.5.1.3.0........1.0.2.2.0........0.1.1.3.0........2.0.3.3.0
%e ....1.1.1.0.0.0......1.5.1.2.1.2......2.1.1.0.0.0......2.2.1.1.0.2
%e ...3.0.2.2.0.6.0....0.1.1.1.4.2.2....2.2.4.3.0.6.0....1.4.1.5.1.2.2
%e ..0.0.0.2.0.0.0.0..1.1.1.0.1.1.0.0..1.0.1.1.0.0.0.0..0.1.1.0.1.1.0.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 16 2011